Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2005; 42(6): 1279-1285

Printed November 1, 2005

Copyright © The Korean Mathematical Society.

Brill-Noether divisors on the moduli space of curves and applications

Edoardo Ballico and Claudio Fontanari

Abstract

Here we generalize previous work by Eisenbud-Harris and Farkas in order to prove that certain Brill-Noether divisors on the moduli space of curves have distinct supports. From this fact we deduce non-trivial regularity results for a higher codimensional Brill-Noether locus and for the general $\frac{g+1}{2}$-gonal curve of odd genus $g$.

Keywords: Brill-Noether divisor, moduli space of curves

MSC numbers: 14H10, 14H51

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